On the energy equality for axisymmetric weak solutions to the 3D Navier-Stokes equations

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Axially symmetric solutions to PDEs (35B07)

Cites Work

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Regularity criterion of axisymmetric weak solutions to the 3D Navier-Stokes equations
A priori bound on the velocity in axially symmetric Navier-Stokes equations
A geometric condition implying an energy equality for solutions of the 3D Navier-Stokes equation
On the regularity of the axisymmetric solutions of the Navier-Stokes equations
The energy measure for the Euler and Navier-Stokes equations
On the energy equality for the 3D Navier-Stokes equations
On the Shinbrot's criteria for energy equality to Newtonian fluids: a simplified proof, and an extension of the range of application
Energy equality of the 3D Navier-Stokes equations and generalized Newtonian equations
A Liouville theorem for Axi-symmetric Navier-Stokes equations on \(\mathbb{R}^2 \times \mathbb{T}^1\)
On the energy equality for solutions to Newtonian and non-Newtonian fluids
Un teorema di unicita per le equazioni di Navier-Stokes
On the movement of a space-filling viscous liquid
Lower Bound on the Blow-up Rate of the Axisymmetric Navier–Stokes Equations
Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II
The Energy Equation for the Navier–Stokes System
Conditions Implying Energy Equality for Weak Solutions of the Navier--Stokes Equations
Global Axisymmetric Solutions to Three-Dimensional Navier–Stokes System
Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

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